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19143354240 = 2733519199293
BaseRepresentation
bin10001110101000010…
…000110011110000000
31211102010121011012000
4101311002012132000
5303201144313430
612443324304000
71245250553253
oct216502063600
954363534160
1019143354240
118133a1941a
1238630a2000
131a6108075a
14cd861309a
15770954e60
hex475086780

19143354240 has 512 divisors, whose sum is σ = 71971200000. Its totient is φ = 4795490304.

The previous prime is 19143354193. The next prime is 19143354253. The reversal of 19143354240 is 4245334191.

19143354240 is a `hidden beast` number, since 191 + 43 + 3 + 5 + 424 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 19143354195 and 19143354204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65335534 + ... + 65335826.

It is an arithmetic number, because the mean of its divisors is an integer number (140568750).

Almost surely, 219143354240 is an apocalyptic number.

19143354240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19143354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35985600000).

19143354240 is an abundant number, since it is smaller than the sum of its proper divisors (52827845760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19143354240 is a wasteful number, since it uses less digits than its factorization.

19143354240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 19143354240 in words is "nineteen billion, one hundred forty-three million, three hundred fifty-four thousand, two hundred forty".